Construction of polynomial approximation for Hansen coefficients Original Research Article

The problem of constructing efficient approximations of Hansen coefficients using polynomials in terms of the eccentricity is considered. The properties of the following approximating schemes are studied in detail: approximation by fragments of Taylor series, interpolation by Lagrange polynomials, Chebyshev approximation. The accuracy of all these approximating schemes is investigated for different values of eccentricities and for different indices of the Hansen coefficients.